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Finding the Fourth Proportional to 5,009.74, 7,519.48 and 2,414.50

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Solution

The fourth proportional to 5,009.74, 7,519.48 and 2,414.50 is: 3,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.74 : 7,519.48 = 2,414.50 : x
  2. Step 2: Convert to fraction form
    5,009.74/7,519.48 = 2,414.50/x
  3. Step 3: Cross multiply
    5,009.74x = 7,519.48 × 2,414.50
  4. Step 4: Simplify right side
    5,009.74x = 18,155,784.46
  5. Step 5: Solve for x
    x = 18,155,784.46/5,009.74
  6. Step 6: Final answer
    x = 3,624.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.